论文标题
在开放量子动力学中量化非马克维亚性
Quantifying Non-Markovianity in Open Quantum Dynamics
论文作者
论文摘要
非马克维亚开放量子动力学的表征既是理论和实际相关性。在开创性的工作中[物理学。莱特牧师。 120，040405（2018）]，提出了一种必要和充分的量子马尔可夫条件，具有明确的操作解释，并与经典限制进行了通信。在这里，我们提出了两项针对一般开放量子动力学的非马克维亚度度量，它们与马尔可夫极限完全核对，可以根据系统的多时间量子测量有效地计算。提出了一种用于重建基本开放量子动力学的启发式算法，其复杂性与提出的非马克维亚度度量直接相关。通过数值示例证明了非马克维亚度度量和重建算法，并仔细地重新审查了量子驱动动力学中的非马克维亚性。
Characterization of non-Markovian open quantum dynamics is both of theoretical and practical relevance. In a seminal work [Phys. Rev. Lett. 120, 040405 (2018)], a necessary and sufficient quantum Markov condition is proposed, with a clear operational interpretation and correspondence with the classical limit. Here we propose two non-Markovianity measures for general open quantum dynamics, which are fully reconciled with the Markovian limit and can be efficiently calculated based on the multi-time quantum measurements of the system. A heuristic algorithm for reconstructing the underlying open quantum dynamics is proposed, whose complexity is directly related to the proposed non-Markovianity measures. The non-Markovianity measures and the reconstruction algorithm are demonstrated with numerical examples, together with a careful reexamination of the non-Markovianity in quantum dephasing dynamics.
